Mathematics, 03.05.2022 01:00 HavenShort3075
the circumference of a circular patio is 53.38 Ft what is the area of the patio use 3.14 for an approximation for pi
Answers: 3
![\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=53.38 \end{cases}\implies 53.38=2\pi r\implies \cfrac{53.38}{2\pi }=r\implies \cfrac{26.69}{\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{6em}A=\pi \left( \cfrac{26.69}{\pi } \right)^2\implies A=\cfrac{26.69^2}{\pi }\implies \stackrel{using~\pi =3.14}{A\approx 226.87}](/tpl/images/2751/4673/28f3d.png)
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